#include <bits/stdc++.h>
#include "light.h"
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#define int long long
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
#define sp << " " <<
#define all(x) x.begin(),x.end()
using namespace std;
const int MOD = 1e9+7;
int cnt = 1;
void prepare(){
cnt = 1;
}
std::pair<int, std::vector<int>> join(int p){
vi torches;
cnt+=p;
int cur = cnt;
torches.push_back(cur);
cur--;
while (cur > 1) {
torches.push_back(cur);
cur = cnt-(cnt-cur)*2;
}
torches.push_back(1);
reverse(all(torches));
return {p,torches};
}
std::pair<int, std::vector<int>> leave(int p){
cnt-=p;
int cur = cnt;
vi torches;
torches.push_back(cur);
cur--;
while (cur > 1) {
torches.push_back(cur);
cur = cnt-(cnt-cur)*2;
}
torches.push_back(1);
reverse(all(torches));
return {p,torches};
}
